Andrea Wolff and Joachim Krug 2009 Phys. Biol. 6 036007 doi:10.1088/1478-3975/6/3/036007
Robustness and epistasis in mutation-selection models
Andrea Wolff and Joachim Krug
Show affiliationsWe investigate the fitness advantage associated with the robustness of a phenotype against deleterious mutations using deterministic mutation-selection models of a quasispecies type equipped with a mesa-shaped fitness landscape. We obtain analytic results for the robustness effect which become exact in the limit of infinite sequence length. Thereby, we are able to clarify a seeming contradiction between recent rigorous work and an earlier heuristic treatment based on mapping to a Schrödinger equation. We exploit the quantum mechanical analogy to calculate a correction term for finite sequence lengths and verify our analytic results by numerical studies. In addition, we investigate the occurrence of an error threshold for a general class of epistatic landscapes and show that diminishing epistasis is a necessary but not sufficient condition for error threshold behaviour.
- PACS
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87.23.Kg Dynamics of evolution
87.23.Cc Population dynamics and ecological pattern formation
- Subjects
- Dates
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Issue 3 (September 2009)
Received 6 January 2009, accepted for publication 7 April 2009
Published 1 May 2009
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Robustness and epistasis in mutation-selection models
Andrea Wolff and Joachim Krug 2009 Phys. Biol. 6 036007
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